calculate the density of a solid if a cube meassuring 2.04cm on one side has a mass of 124g
......................g/cm3
calculate the mass of a cube the same substance measuring 7.97cm on one side enter your answer in scientific notaation
..................x10 g
volume = (2.04 cm)^3
density = mass/volume
To calculate the density of a solid, you need to divide its mass by its volume. In this case, the volume can be calculated by cubing the length of one side of the cube.
1. Calculate the volume of the cube:
Volume = (Length of one side)^3
Volume = (2.04cm)^3
Volume = 8.472216cm^3
2. Calculate the density of the solid:
Density = Mass / Volume
Density = 124g / 8.472216cm^3
Density ≈ 14.63 g/cm^3 (rounded to two decimal places)
So, the density of the solid cube is approximately 14.63 g/cm^3.
Now, to calculate the mass of a cube with the same substance but a different side length:
1. Calculate the volume of the new cube:
Volume = (Length of one side)^3
Volume = (7.97cm)^3
Volume = 503.449833cm^3
2. Calculate the mass of the new cube:
Mass = Density x Volume
Mass = 14.63 g/cm^3 x 503.449833cm^3
Mass ≈ 7366.76 g (rounded to two decimal places)
Therefore, the mass of the cube with the same substance but measuring 7.97cm on one side is approximately 7.37 x 10^3 g in scientific notation.